Multidimensional Logarithmic Number System Addition and Subtraction

2017 ◽  
pp. 169-202
Keyword(s):  
Number System ◽  
Logarithmic Number System ◽  
Addition And Subtraction ◽  
Logarithmic Number

scholarly journals Less memory and high accuracy logarithmic number system architecture for arithmetic operations

2021 ◽  
Vol 23 (3) ◽  
pp. 1708
Author(s):  
Siti Zarina Md Naziri ◽  
Rizalafande Che Ismail ◽  
Mohd Nazrin Md Isa ◽  
Razaidi Hussin
Keyword(s):  
Number System ◽  
Memory Consumption ◽  
Logarithmic Number System ◽  
Extended Range ◽  
Interpolation Procedure ◽  
Proper Design ◽  
Addition And Subtraction ◽  
Operation Results ◽  
Logarithmic Number ◽  
Second Degree

<p>Interpolation is another important procedure for logarithmic number system (LNS) addition and subtraction. As a medium of approximation, the interpolation procedure has an urgent need to be enhanced to increase the accuracy of the operation results. Previously, most of the interpolation procedures utilized the first degree interpolators with special error correction procedure which aim to eliminate additional embedded multiplications. However, the interpolation procedure for this research was elevated up to a second degree interpolation. Proper design process, investigation, and analysis were done for these interpolation configurations in positive region by standardizing the same co-transformation procedure, which is the extended range, second order co-transformation. Newton divided differences turned out to be the best interpolator for second degree implementation of LNS addition and subtraction, with the best-achieved BTFP rate of +0.4514 and reduction of memory consumption compared to the same arithmetic used in european logarithmic microprocessor (ELM) up to 51%.</p>

scholarly journals Hybrid Floating Point/Logarithmic Number System Processor

2020 ◽  
Vol 932 ◽  
pp. 012059
Author(s):  
C Y Sheng ◽  
R C Ismail ◽  
S Z M Naziri ◽  
M N M Isa ◽  
S A Z Murad ◽  
...  
Keyword(s):  
Number System ◽  
Floating Point ◽  
Logarithmic Number System ◽  
Logarithmic Number

Implementing the Residue Logarithmic Number System Using Interpolation and Cotransformation

2020 ◽  
Vol 69 (12) ◽  
pp. 1719-1732 ◽  
Author(s):  
Mark G. Arnold ◽  
Vassilis Paliouras ◽  
Ioannis Kouretas
Keyword(s):  
Number System ◽  
Logarithmic Number System ◽  
Logarithmic Number
Sign in / Sign up

Export Citation Format

Share Document